Classical Fourier Analysis: Graduate Texts in Mathematics, cartea 249
Autor Loukas Grafakosen Limba Engleză Hardback – 19 noi 2014
This third edition includes new Sections 3.5, 4.4, 4.5 as well as a new chapter on “Weighted Inequalities,” which has been moved from GTM 250, 2nd Edition. Appendices I and B.9 are also new to this edition. Countless corrections and improvements have been made to the material from the second edition. Additions and improvements include: more examples and applications, new and more relevant hints for the existing exercises, new exercises, and improved references.
Toate formatele și edițiile | Preț | Express |
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Paperback (2) | 426.42 lei 6-8 săpt. | |
Springer – 19 noi 2010 | 426.42 lei 6-8 săpt. | |
Springer – 23 aug 2016 | 453.57 lei 38-45 zile | |
Hardback (1) | 438.84 lei 38-45 zile | |
Springer – 19 noi 2014 | 438.84 lei 38-45 zile |
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Specificații
ISBN-13: 9781493911936
ISBN-10: 1493911937
Pagini: 656
Ilustrații: XVII, 638 p. 14 illus., 2 illus. in color.
Dimensiuni: 155 x 235 x 43 mm
Greutate: 1.09 kg
Ediția:3rd ed. 2014
Editura: Springer
Colecția Springer
Seria Graduate Texts in Mathematics
Locul publicării:New York, NY, United States
ISBN-10: 1493911937
Pagini: 656
Ilustrații: XVII, 638 p. 14 illus., 2 illus. in color.
Dimensiuni: 155 x 235 x 43 mm
Greutate: 1.09 kg
Ediția:3rd ed. 2014
Editura: Springer
Colecția Springer
Seria Graduate Texts in Mathematics
Locul publicării:New York, NY, United States
Public țintă
GraduateCuprins
Preface.- 1. Lp Spaces and Interpolation.- 2. Maximal Functions, Fourier Transform, and Distributions.- 3. Fourier Series.- 4. Topics on Fourier Series.- 5. Singular Integrals of Convolution Type.- 6. Littlewood–Paley Theory and Multipliers.- 7. Weighted Inequalities.- A. Gamma and Beta Functions.- B. Bessel Functions.- C. Rademacher Functions.- D. Spherical Coordinates.- E. Some Trigonometric Identities and Inequalities.- F. Summation by Parts.- G. Basic Functional Analysis.- H. The Minimax Lemma.- I. Taylor's and Mean Value Theorem in Several Variables.- J. The Whitney Decomposition of Open Sets in Rn.- Glossary.- References.- Index.
Recenzii
“The most up-to-date account of the most important developments in the area. … It has to be pointed out that the hard ones usually come with a good hint, which makes the book suitable for self-study, especially for more motivated students. That being said, the book provides a good reference point for seasoned researchers as well” (Atanas G. Stefanov, Mathematical Reviews, August, 2015)
Notă biografică
Loukas Grafakos is a Professor of Mathematics at the University of Missouri at Columbia.
Textul de pe ultima copertă
The main goal of this text is to present the theoretical foundation of the field of Fourier analysis on Euclidean spaces. It covers classical topics such as interpolation, Fourier series, the Fourier transform, maximal functions, singular integrals, and Littlewood–Paley theory. The primary readership is intended to be graduate students in mathematics with the prerequisite including satisfactory completion of courses in real and complex variables. The coverage of topics and exposition style are designed to leave no gaps in understanding and stimulate further study.
This third edition includes new Sections 3.5, 4.4, 4.5 as well as a new chapter on “Weighted Inequalities,” which has been moved from GTM 250, 2nd Edition. Appendices I and B.9 are also new to this edition. Countless corrections and improvements have been made to the material from the second edition. Additions and improvements include: more examples and applications, new and more relevant hints forthe existing exercises, new exercises, and improved references.
Reviews from the Second Edition:
“The books cover a large amount of mathematics. They are certainly a valuable and useful addition to the existing literature and can serve as textbooks or as reference books. Students will especially appreciate the extensive collection of exercises.”
—Andreas Seager, Mathematical Reviews
“This book is very interesting and useful. It is not only a good textbook, but also an
indispensable and valuable reference for researchers who are working on analysis and partial differential equations. The readers will certainly benefit a lot from the detailed proofs and the numerous exercises.” —Yang Dachun, zbMATH
This third edition includes new Sections 3.5, 4.4, 4.5 as well as a new chapter on “Weighted Inequalities,” which has been moved from GTM 250, 2nd Edition. Appendices I and B.9 are also new to this edition. Countless corrections and improvements have been made to the material from the second edition. Additions and improvements include: more examples and applications, new and more relevant hints forthe existing exercises, new exercises, and improved references.
Reviews from the Second Edition:
“The books cover a large amount of mathematics. They are certainly a valuable and useful addition to the existing literature and can serve as textbooks or as reference books. Students will especially appreciate the extensive collection of exercises.”
—Andreas Seager, Mathematical Reviews
“This book is very interesting and useful. It is not only a good textbook, but also an
indispensable and valuable reference for researchers who are working on analysis and partial differential equations. The readers will certainly benefit a lot from the detailed proofs and the numerous exercises.” —Yang Dachun, zbMATH
Caracteristici
New edition extensively revised and updated, including 1000 different corrections and improvements in the existing text Includes a new chapter, "Topics on Fourier series", including sections on Gibbs phenomenon, summability methods and Jackson's theorem, Tauberian theorems, spherical Fourier inversion, and Fourier transforms on the line Provides motivation for the reader with more examples and applications, new and more relevant hints for the existing exercises, and about 20-30 new exercises in the existing chapters Includes supplementary material: sn.pub/extras Request lecturer material: sn.pub/lecturer-material